Trigonometry

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Trigonometry

Pythagoras’ Theorem in 3D

Students learn how to calculate unknown lengths in cuboids and other solids by applying Pythagoras' Theorem in ...

Revising the Cosine Rule

Students revise how to use the Cosine Rule to calculate unknown lengths and angles in non-right-angled triangles...

Revising Trigonometry in Right-Angled Triangles

Students revise how to calculate unknown angles and lengths in right-angled triangles using Sine, Cosine and Tan...

3D Trigonometry

To solve problems involving trigonomety in 3D shapes students are taught to identify 2D right-angled triangles a...

Cosine Rule – Finding Angles

Students learn how to derive and apply the Cosine Rule to find missing angles in triangles.  As learning progres...

Cosine Rule – Finding Lengths

Students learn how to derive and apply the Cosine rule to find missing lengths in triangles.  As learning progre...

Exact Trigonometric Solutions

Students learn how to solve trigonometrical equations with exact solutions using special triangles.   As learnin...

Pythagoras’ Theorem – Finding the Hypotenuse

Students learn how to derive and apply Pythagoras' Theorem to find the hypotenuse of right-angled triangles.  A...

Pythagoras’ Theorem – Shorter Sides

Students learn how to calculate a shorter side of a right-angled triangle using Pythagoras' Theorem.  As learni...

Introducing Pythagoras’ Theorem

Students discover Pythagoras’ Theorem through construction of Pythagorean triples.  As learning progresses stude...

Sine Rule

Students learn how to derive and apply the Sine rule to find missing angle in triangular shapes.  As learning pr...

Trigonometry – Angles in Right-Angled Triangles

Students learn how to apply Sin, Cos and Tan to find missing angles in right-angled triangles.  As learning prog...

Trigonometry – Area of Triangles

Students learn how to derive and apply the area formulae for non-right-angles.  As learning progresses they are ...

Trigonometrical Graphs

Students learn how to plot and read from trigonometrical graphs between 0 to 360°.  As learning progresses they ...

Trigonometry Introduction

Students discover the three trigonometric ratios Sin, Cos and Tan through constructions.  As learning progresses...

Trigonometry – Lengths in Right-Angled Triangles

Students learn how to calculate unknown lengths in right-angled triangles using Sin, Cos and Tan.  As learning p...

Mr Mathematics Blog

Mathematics OFSTED Inspection – The Deep Dive

Earlier this week, my school took part in a trial OFSTED inspection as part of getting ready for the new inspection framework in September 2019. This involved three Lead Inspectors visiting our school over the course of two days. The first day involved a 'deep dive' by each of the Lead Inspectors into Mathematics, English […]

How to Solve Quadratics by Factorising

The method of how to solve quadratics by factorising is now part of the foundational knowledge students aiming for higher exam grades are expected to have.   Here is an example of such a question. Solve x2 + 7x – 18 = 0 In my experience of teaching and marking exam papers students often struggle with […]

How Write 3 Part Ratios

When learning how to write 3-part ratios students need to understand how ratios can be made equivalent. The start of the lesson reminds students by asking which of six ratios is the odd one out.  This is presented to the class as they come into the lesson.    Writing Equivalent Ratios  A few students immediately go […]